Magma V2.19-8 Tue Aug 20 2013 16:14:57 on localhost [Seed = 846442027] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s926 geometric_solution 5.77488893 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 0 -1 1 -1 0 0 1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.686752342394 0.975708229708 0 3 5 4 0132 0132 0132 0132 0 0 0 0 0 0 -1 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.579327639052 0.791812696135 3 0 4 5 2310 0132 3201 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.579327639052 0.791812696135 3 1 2 3 3201 0132 3201 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.142121923921 0.922217280866 2 4 1 4 2310 2310 0132 3201 0 0 0 0 0 1 -1 0 0 0 1 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.961908164546 0.794396297863 2 5 5 1 3201 1230 3012 0132 0 0 0 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.560523968413 0.645433318055 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 3502214530/905227*c_0101_3^19 - 19309398356/905227*c_0101_3^18 - 10949695056/905227*c_0101_3^17 - 19602608594/905227*c_0101_3^16 - 243075172926/905227*c_0101_3^15 + 123225834323/905227*c_0101_3^14 + 1200041407059/905227*c_0101_3^13 + 38921938770/905227*c_0101_3^12 - 2227353911552/905227*c_0101_3^11 - 587593210829/905227*c_0101_3^10 + 2176717481342/905227*c_0101_3^9 + 952539112839/905227*c_0101_3^8 - 1241341781045/905227*c_0101_3^7 - 742738310367/905227*c_0101_3^6 + 421723902863/905227*c_0101_3^5 + 315374450713/905227*c_0101_3^4 - 80988311848/905227*c_0101_3^3 - 69495377319/905227*c_0101_3^2 + 6855677502/905227*c_0101_3 + 6168647827/905227, c_0011_0 - 1, c_0011_4 - 349610596/905227*c_0101_3^19 + 1942691579/905227*c_0101_3^18 + 1022303218/905227*c_0101_3^17 + 1849666622/905227*c_0101_3^16 + 24095291243/905227*c_0101_3^15 - 13484937276/905227*c_0101_3^14 - 120239754245/905227*c_0101_3^13 + 997027374/905227*c_0101_3^12 + 226620547364/905227*c_0101_3^11 + 52302617497/905227*c_0101_3^10 - 225408934084/905227*c_0101_3^9 - 92054799758/905227*c_0101_3^8 + 131072103137/905227*c_0101_3^7 + 74528380837/905227*c_0101_3^6 - 45426705677/905227*c_0101_3^5 - 32416017146/905227*c_0101_3^4 + 8876965236/905227*c_0101_3^3 + 7275454000/905227*c_0101_3^2 - 758925468/905227*c_0101_3 - 657068001/905227, c_0101_0 + 7830261/905227*c_0101_3^19 - 43753090/905227*c_0101_3^18 - 31955894/905227*c_0101_3^17 + 13839522/905227*c_0101_3^16 - 495159905/905227*c_0101_3^15 + 410366540/905227*c_0101_3^14 + 3446408182/905227*c_0101_3^13 - 229783220/905227*c_0101_3^12 - 8377864135/905227*c_0101_3^11 - 2091102383/905227*c_0101_3^10 + 10117653021/905227*c_0101_3^9 + 4650445464/905227*c_0101_3^8 - 6735140962/905227*c_0101_3^7 - 4404198099/905227*c_0101_3^6 + 2502359903/905227*c_0101_3^5 + 2211905390/905227*c_0101_3^4 - 486977621/905227*c_0101_3^3 - 580779321/905227*c_0101_3^2 + 39907939/905227*c_0101_3 + 62266157/905227, c_0101_1 + 262246256/905227*c_0101_3^19 - 1454531811/905227*c_0101_3^18 - 781383971/905227*c_0101_3^17 - 1396132698/905227*c_0101_3^16 - 18098809528/905227*c_0101_3^15 + 9919139183/905227*c_0101_3^14 + 90247571754/905227*c_0101_3^13 + 68361876/905227*c_0101_3^12 - 169833295889/905227*c_0101_3^11 - 40451408862/905227*c_0101_3^10 + 168612844571/905227*c_0101_3^9 + 69971754914/905227*c_0101_3^8 - 97842333178/905227*c_0101_3^7 - 56297346445/905227*c_0101_3^6 + 33840676942/905227*c_0101_3^5 + 24429618135/905227*c_0101_3^4 - 6603994198/905227*c_0101_3^3 - 5486992158/905227*c_0101_3^2 + 565394218/905227*c_0101_3 + 497512912/905227, c_0101_2 - c_0101_3^19 + 5*c_0101_3^18 + 6*c_0101_3^17 + 7*c_0101_3^16 + 72*c_0101_3^15 - 364*c_0101_3^13 - 188*c_0101_3^12 + 644*c_0101_3^11 + 505*c_0101_3^10 - 554*c_0101_3^9 - 612*c_0101_3^8 + 225*c_0101_3^7 + 413*c_0101_3^6 - 12*c_0101_3^5 - 161*c_0101_3^4 - 25*c_0101_3^3 + 34*c_0101_3^2 + 8*c_0101_3 - 3, c_0101_3^20 - 5*c_0101_3^19 - 6*c_0101_3^18 - 7*c_0101_3^17 - 72*c_0101_3^16 + 364*c_0101_3^14 + 188*c_0101_3^13 - 644*c_0101_3^12 - 505*c_0101_3^11 + 554*c_0101_3^10 + 612*c_0101_3^9 - 225*c_0101_3^8 - 413*c_0101_3^7 + 12*c_0101_3^6 + 161*c_0101_3^5 + 25*c_0101_3^4 - 34*c_0101_3^3 - 9*c_0101_3^2 + 3*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB